The approach to scaling in phase-ordering kinetics

TL;DR

This paper investigates how initial fluctuations influence the onset of scaling in phase-ordering kinetics, revealing that fluctuations significantly affect scaling behavior and that large-N models can describe crossover phenomena.

Contribution

It provides a detailed analysis of initial fluctuation effects on scaling in phase-ordering, highlighting the role of fluctuations over the number of order parameter components.

Findings

Initial fluctuations greatly influence the approach to scaling.

Large-N models can describe multiscaling to standard-scaling crossover.

Number of order parameter components has minimal impact.

Abstract

The influence of the initial fluctuations on the onset of scaling in the quench to zero temperature of a two dimensional system with conserved order parameter, is analyzed in detail with and without topological defects. We find that the initial fluctuations greatly affect the way scaling is reached, while the number of components of the order parameter does not play a significant role. Under strong initial fluctuations the preasymptotic linear behavior is replaced by the mean field behavior of the large-N model, producing the multiscaling to standard-scaling crossover also in the physically interesting cases of systems with a small number of components.